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Books > Science & Mathematics > Mathematics > Applied mathematics
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Plasticity and Creep of Metals (Paperback, 2011 ed.)
Loot Price: R4,392
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Plasticity and Creep of Metals (Paperback, 2011 ed.)
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This book serves both as a textbook and a scientific work. As a
textbook, the work gives a clear, thorough and systematic
presentation of the fundamental postulates, theorems and principles
and their applications of the classical mathematical theories of
plasticity and creep. In addition to the mathematical theories, the
physical theory of plasticity, the book presents the Budiansky
concept of slip and its modification by M. Leonov. Special
attention is given to the analysis of the advantages and
shortcomings of the classical theories. In its main part, the book
presents the synthetic theory of irreversible deformations, which
is based on the mathematical Sanders flow plasticity theory and the
physical theory, the Budiansky concept of slip. The main
peculiarity of the synthetic theory is that the formulae for both
plastic and creep deformation, as well their interrelations, can be
derived from the single constitutive equation. Furthermore, the
synthetic theory, as physical one, can take into account the real
processes that take place in solids at irreversible deformation.
This widens considerably the potential of the synthetic theory. In
the framework of the synthetic theory such problems as creep delay,
the Hazen-Kelly effect, the deformation at the break of the load
trajectory, the influence of the rate of loading on the
stress-strain diagram, creep at the changes of load, creep at
unloading and reversed creep, have been analytically described. In
the last chapter, the book shows the solution of some contemporary
problems of plasticity and creep: Creep deformation at cyclic
abrupt changes of temperature, The influence of irradiation on the
plastic and creep deformation, Peculiarities of deformation at the
phase transformation of some metals.
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